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Finding the Fourth Proportional to 233,729.54, 322,493.22 and 147,584.98

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Solution

The fourth proportional to 233,729.54, 322,493.22 and 147,584.98 is: 203,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,729.54 : 322,493.22 = 147,584.98 : x
  2. Step 2: Convert to fraction form
    233,729.54/322,493.22 = 147,584.98/x
  3. Step 3: Cross multiply
    233,729.54x = 322,493.22 × 147,584.98
  4. Step 4: Simplify right side
    233,729.54x = 47,595,155,423.84
  5. Step 5: Solve for x
    x = 47,595,155,423.84/233,729.54
  6. Step 6: Final answer
    x = 203,633.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.